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International Journal of Computer Mathematics Volume 17, 1985 - Issue 2
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Original Articles

Numerov's method for non-linear two-point boundary value problems

M.M. Chawla Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi, 110016, India
&
P.N. Shivakumar Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada
Pages 167-176 | Received 01 Jul 1984, Published online: 19 Mar 2007

Citations (11)

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Read on this site (2)

M. M. Chawla, R. Subramanian & P. N. Shivakumar. (1989) Numerov's method for non-linear two-point boundary value problems II. monotone approximations. International Journal of Computer Mathematics 26:3-4, pages 219-227.
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M. M. Chawla & R. Subramanian. (1987) A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems. International Journal of Computer Mathematics 22:3-4, pages 321-341.
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Articles from other publishers (9)

N BALASUBRAMANİ, M. GURU PREM PRASAD & S NATESAN. (2020) Fractal quintic spline method for nonlinear boundary-value problems. Hacettepe Journal of Mathematics and Statistics 49:6, pages 1885-1903.
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Yuan-Ming Wang, Wen-Jia Wu & Massimo Scalia. (2012) Numerov's Method for a Class of Nonlinear Multipoint Boundary Value Problems. Mathematical Problems in Engineering 2012, pages 1-29.
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Yuan-Ming Wang. (2011) On Numerov's method for a class of strongly nonlinear two-point boundary value problems. Applied Numerical Mathematics 61:1, pages 38-52.
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Yuan-Ming Wang, Hai-Yun Jiang & Ravi P. Agarwal. (2008) A fourth-order compact finite difference method for higher-order Lidstone boundary value problems. Computers & Mathematics with Applications 56:2, pages 499-521.
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Yuan-Ming Wang. (2007) The extrapolation of Numerov's scheme for nonlinear two-point boundary value problems. Applied Numerical Mathematics 57:3, pages 253-269.
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Yuan-Ming Wang. (2003) Numerov's method for strongly nonlinear two-point boundary value problems. Computers & Mathematics with Applications 45:4-5, pages 759-763.
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L.K. Bieniasz. (2002) Use of the Numerov method to improve the accuracy of the spatial discretisation in finite-difference electrochemical kinetic simulations. Computers & Chemistry 26:6, pages 633-644.
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R.P. Agarwal & Yuan-Ming Wang. (2001) Some recent developments of numerov's method. Computers & Mathematics with Applications 42:3-5, pages 561-592.
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L.E. Garey & R.E. Shaw. (1993) Numerical methods for singular nonlinear Volterra type equations with two point boundary conditions. Computers & Mathematics with Applications 26:1, pages 53-61.
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